document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=173383>Question 173383</A>: <I><SPAN STYLE=\"word-break: break-all;\"> please help me with this problem. im getting confused. and i really need ur help.\r<BR>\n" );
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document.write( "solve \r<BR>\n" );
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document.write( "x-4                <BR>\n" );
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document.write( "x+1\r<BR>\n" );
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document.write( "+\r<BR>\n" );
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document.write( "4<BR>\n" );
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document.write( "x\r<BR>\n" );
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document.write( "=<BR>\n" );
document.write( "29<BR>\n" );
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document.write( "30\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28x-4%29%2F%28x%2B1%29%29%2B%284%2Fx%29=29%2F30 ALIGN=MIDDLE  ALT=\"%28%28x-4%29%2F%28x%2B1%29%29%2B%284%2Fx%29=29%2F30\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "please show the work. thx!!                    \r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #128250 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=128250\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28x-4%29%2F%28x%2B1%29%29%2B%284%2Fx%29=29%2F30 ALIGN=MIDDLE  ALT=\"%28%28x-4%29%2F%28x%2B1%29%29%2B%284%2Fx%29=29%2F30\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "None of the denominators have any factors in common, so the lowest common denominator is simply the product of the three denominators, namely <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=30x%28x%2B1%29 ALIGN=MIDDLE  ALT=\"30x%28x%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Applying the LCD:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%2830x%28x-4%29%29%2B120%28x%2B1%29%29%2F%2830x%28x%2B1%29%29=%2829x%28x%2B1%29%29%2F%2830x%28x%2B1%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now that you have the same denominator on both sides of the equation, you can multiply both sides by that same denominator and eliminate the denominator altogether, leaving only the numerators to deal with.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2830x%28x-4%29%29%2B120%28x%2B1%29=29x%28x%2B1%29 ALIGN=MIDDLE  ALT=\"%2830x%28x-4%29%29%2B120%28x%2B1%29=29x%28x%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Use the distributive property and then collect like terms:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=30x%5E2-120x%2B120x%2B120=29x%5E2%2B29x ALIGN=MIDDLE  ALT=\"30x%5E2-120x%2B120x%2B120=29x%5E2%2B29x\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=30x%5E2-29x%5E2-29x%2B120=0 ALIGN=MIDDLE  ALT=\"30x%5E2-29x%5E2-29x%2B120=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-29x%2B120=0 ALIGN=MIDDLE  ALT=\"x%5E2-29x%2B120=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-5%29%28-24%29=120 ALIGN=MIDDLE  ALT=\"%28-5%29%28-24%29=120\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-5-24=-29 ALIGN=MIDDLE  ALT=\"-5-24=-29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, this quadratic equation factors:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-29x%2B120=%28x-5%29%28x-24%29=0 ALIGN=MIDDLE  ALT=\"x%5E2-29x%2B120=%28x-5%29%28x-24%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > so <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=5 ALIGN=MIDDLE  ALT=\"x=5\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=24 ALIGN=MIDDLE  ALT=\"x=24\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  However, since this is an equation involving rational expressions with variables in the denominator, you need to verify that you did not introduce extraneous roots in the process of solving.  You can't have a root that makes any of the original denominators go to zero.\r<BR>\n" );
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document.write( "In this case, we are ok with both of the roots because neither of the roots of the quadratic cause any of the original denominators to be equal to zero.  Furthermore, substitution of either of the roots into the original equation results in a true statement.  You should do this verification work yourself to assure yourself that I didn't make a mistake somewhere.\r<BR>\n" );
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